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Finding the Third Proportional to 1,821,894 and 2,595,327

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Solution

The third proportional to 1,821,894 and 2,595,327 is: 3,697,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,894 : 2,595,327 = 2,595,327 : x
  2. Step 2: Convert to fraction form
    1,821,894/2,595,327 = 2,595,327/x
  3. Step 3: Cross multiply
    1,821,894x = 2,595,327 × 2,595,327
  4. Step 4: Simplify right side
    1,821,894x = 6,735,722,236,929
  5. Step 5: Solve for x
    x = 6,735,722,236,929/1,821,894
  6. Step 6: Final answer
    x = 3,697,098.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.